E-solid locally inverse semigroups

Dékány Tamás and Szendrei Mária B. and Szittyai István: E-solid locally inverse semigroups. In: Acta scientiarum mathematicarum, (85) 3-4. pp. 381-411. (2019)

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Abstract

We prove that if S is an E-solid locally inverse semigroup, and ρ is an inverse semigroup congruence on S such that the idempotent classes of p are completely simple semigroups thenSis embeddable into a λ-semidirectproduct of a completely simple semigroup byS/ρ. Consequently, theE-solid locally inverse semigroups turn out to be, up to isomorphism, the regularsubsemigroups of λ-semidirect products of completely simple semigroups by inverse semigroups

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2019
Volume: 85
Number: 3-4
ISSN: 2064-8316
Page Range: pp. 381-411
Related URLs: http://acta.bibl.u-szeged.hu/66425/
DOI: 10.14232/actasm-018-311-5
Uncontrolled Keywords: Algebra - rendezett félcsoport
Additional Information: Bibliogr.: p. 409-411.
Date Deposited: 2020. Apr. 23. 11:42
Last Modified: 2021. Mar. 25. 15:34
URI: http://acta.bibl.u-szeged.hu/id/eprint/66322

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